This book introduces readers to the full range of current and background activity in the
rapidly growing field of nonlinear dynamics. It uses a step-by-step introduction to dynamics …

Fractals arise from a variety of sources and have been observed in nature and on computer
screens. One of the exceptional characteristics of fractals is that they can be described by a …

The previous edition of this text was the first to provide a quantitative introduction to chaos
and nonlinear dynamics at the undergraduate level. It was widely praised for the clarity of …

A singular-value decomposition leads to a set of statistically independent variables which
are used in the Grassberger-Procaccia algorithm to calculate the correlation dimension of an …

We propose a new method to compute Lyapunov exponents from limited experimental data.
The method is tested on a variety of known model systems, and it is found that the algorithm …

In the analysis of complex, nonlinear time series, scientists in a variety of disciplines have
relied on a time delayed embedding of their data, ie, attractor reconstruction. The process …

Chaos theory, including the bifurcation and route to turbulence, and the characterization of
chaos, is thoroughly reviewed. A practical method without adjustable free parameters was …

In this review, we analyze the role of chaos and complex dynamics in information processing
by nonlinear dynamical systems. We introduce a model of a chaotic processor and show that …

At present, most of the encryption algorithms based on chaotic systems use dissipative
chaotic systems. However, the dissipative chaotic systems have attractors and are easy to …

A number of different flocculation mechanisms are involved in the formation of chemical
coagulation flocs. Consequently, two flocs with the same size may have been formed by …